Rigorous criteria for ferromagnetism in itinerant electron systems
- 23 May 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 72 (21) , 3425-3428
- https://doi.org/10.1103/physrevlett.72.3425
Abstract
We derive the first detailed, rigorous criteria for the stability of saturated ferromagnetism in the most general single-band model of itinerant electrons, valid for arbitrary translationally invariant lattices, at half filling. These conditions are given by inequalities for the model parameters. Of all interactions only the on-site and the exchange interactions are found to be essential. By the same approach we also derive rigorous criteria for the stability of saturated ferromagnetism in the Hubbard model with a magnetic field.Keywords
This publication has 23 references indexed in Scilit:
- Ferromagnetism in the Hubbard modelCommunications in Mathematical Physics, 1993
- Ferromagnetism in the Hubbard model: instability of the Nagaoka state on the square latticeAnnalen der Physik, 1993
- Metallic ferromagnetism in a single-band model. IV. Effect of pair hoppingPhysical Review B, 1991
- Superconductivity and hydromagnetismPhysica B: Condensed Matter, 1990
- Metallic ferromagnetism in a single-band model. II. Finite-temperature magnetic propertiesPhysical Review B, 1989
- Metallic ferromagnetism in a single-band modelPhysical Review B, 1989
- Electron correlations in narrow energy bandsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1963
- Electron Correlation and Ferromagnetism of Transition MetalsProgress of Theoretical Physics, 1963
- Effect of Correlation on the Ferromagnetism of Transition MetalsPhysical Review Letters, 1963
- Zur Theorie des FerromagnetismusThe European Physical Journal A, 1928